August 2019

Conference Paper

𝛼-weighted Transition Rate Matrix Method

By:
Variansyah, Ilham; Betzler, Benjamin R; Martin, William
Book Title:
Proceedings of the International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engineering (M&C 2019)
Publication Date:
August 2019
Conference Name:
International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engineering (M&C 2019)
Conference Location:
Portland, Oregon, United States of America
Conference Sponsor:
ANS

Abstract

Relative effectiveness of an 𝛼-weighted Transition Rate Matrix Method (TRMM) as compared to the normally used 𝑘 -weighted, for solving reactor transient problem is investigated. An improved Monte Carlo 𝑘-𝛼 iteration with delayed neutron is implemented to the OpenMC to generate the fundamental 𝛼-eigenfunction to be used as the weighting function in calculating the TRMM forward and adjoint operators. A prompt supercritical transient problem and a deep subcritical transient problem of a two-region slab system are devised to compare the relative performance of the 𝛼- and 𝑘-weighted TRMM.